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不同类型地貌的各向异性分形与多重分形特征研究
引用本文:李锰,朱令人,龙海英.不同类型地貌的各向异性分形与多重分形特征研究[J].地球学报,2003,24(3):237-242.
作者姓名:李锰  朱令人  龙海英
作者单位:新疆维吾尔自治区地震局,新疆乌鲁木齐,830011;新疆维吾尔自治区地震局,新疆乌鲁木齐,830011;新疆维吾尔自治区地震局,新疆乌鲁木齐,830011
基金项目:新疆地震科学基金资助项目(200007)
摘    要:利用标准偏差法和固定质量法,研究了新疆天山地区3种不同构造地貌单元地形剖线的自仿射分形和多重分形特征。结果表明,在所研究的标度范围内,不同构造地貌单元剖线分维值总体上呈现出高山区大于中低山区大于盆地区特点,同一个地貌研究区不同方向的剖线呈现不同程度的各向异性。多重分形谱Dq的形态和值域范围也呈现出不同特征。研究认为,地貌表面形态并不是完全随机的,而是一种各向异性的分形布朗运动,分维值表征了内外营力作用的方向和强度,渡越长度是自仿射分形研究中的另一个重要参量。利用上述分形特征可定量研究地貌的发展阶段和地貌动力学。

关 键 词:天山    地貌    自仿射分形    多重分形    地貌动力学

On Fractal and Multifractal Properties for Different Types of Landforms
LI Meng,ZHU Ling-ren and LONG Hai-ying.On Fractal and Multifractal Properties for Different Types of Landforms[J].Acta Geoscientia Sinica,2003,24(3):237-242.
Authors:LI Meng  ZHU Ling-ren and LONG Hai-ying
Institution:Seismological Bureau of Xinjiang Uygur Autonomous Region, Urumqi, Xijiang, 830011;Seismological Bureau of Xinjiang Uygur Autonomous Region, Urumqi, Xijiang, 830011;Seismological Bureau of Xinjiang Uygur Autonomous Region, Urumqi, Xijiang, 830011
Abstract:By using the standard deviation method,the scaling properties described by the local fractal dimension D and crossover length tc of 48 measured landform profiles in different direction of 6 different studied landform sections in Tianshan area are calculated. After that, the multifractal spectra D q-q are computed by fixed-mass method. The results show that in the studied scaling range different types of landscapes and profiles in different directions perform different fractal properties,that is,the D value and crossover length tc decrease in turns with the landform type from high-moutain,mid-low mountain to basin,and the profile parallel to wear grooves often has lower D values than those perpendicular to wear grooves does in the same section. Furthermore, the shapes and va-lue ranges of profile multifarctal D q in different landform types and in different directions of the same sections perform different properties and anisotrpies. It can be concluded that the landscape fractal properties depends closely on the intensity, manner and inhomoge-nity of exogenic and inogenic processess,and with the properties, we can study quantatively the dynamic geomorphic process.
Keywords:Tianshan  landform  self-affine fractal  multifractal  dynamic geomorphology
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